12. While shopping online, Ji Hun finds a square rug with the area of 11m squared he needs to know if it will fit his 4m x 5m bedroom.
a) Estimate the side length to the rug to one decimal place.
sqrt 9 sqrt 11 sqrt 16
|-------|-----------------------|-----------------------------|
3 3.31 4
b) Check with a calculator.
sqrt 11 = 3.316
c) Does the rug fit? Explain.
Yes, because the room is 20m and the rug is 11m.
__________________________
| _________|____4m___ |
| | | |
| | | |
| = 4m x 5m = 20m2 = |
| | | 5m |
| | | |
| |_________|_________ | |
|__________________________|
14. Alex is thinking of a number. The number has a square root between 7 and 8 and is a multiple of 12.
a) What could he be thinking of?
sqrt 49 sqrt 60 sqrt 64
|-------------------------|---------------|----------|
7 7.74 8
b) Is there more than one answer?
No, 60 is the only number between square root that is a multiple of 12.
17. Carmen wants to mount 18cm x 18cm square board that is 4 times the area of the picture.
a) What is the area?
____________|_18cm________
| |
| | 18cm
| |
= 18 x 18 = 324cm2 =
| |
| |
| |
|__________________________|
|
b) What is the area of the board?
____________|____324cm_____
| |
| |
| | 324cm
= 324 x 324 = 104.9 =
| |
| |
| |
|__________________________|
|
c) What are the dimensions of the board?
sqrt 324 = 18cm
____________|___18cm______
| |
| |
| | 18cm
= =
| |
| |
| |
|__________________________|
|
Showing posts with label Square Roots. Show all posts
Showing posts with label Square Roots. Show all posts
Monday, February 13, 2012
Friday, February 3, 2012
Sarah's Text Book Questions
.png)
.png)
Part 2
1. Answer in a short paragrah and with diagrams.
Example :
Legs - Legs are the 2 shortest sides of a right triangle.
Hypotenuse - Hypotenuse is the longest side of a right triangle.
2. Solve for the missing side length.
3. Is this a right triangle? Prove it!!!
Sunday, January 22, 2012
Textbook Questions 4, 8, and 9
4. Estimate the square root of each number, to one decimal place. Check your answer with calculator.
A.)
Square root of 72 is close to the halfway point of 66 and its square root is 8.1 and 72 is 4 numbers away from it. So the whole is 8 and the decimal is 4.
B.)
A.)
Square root of 72 is close to the halfway point of 66 and its square root is 8.1 and 72 is 4 numbers away from it. So the whole is 8 and the decimal is 4.
B.)
The square root of 103 is 10.1. For the whole it hasn't reach pass 11 so it is 10 and for the decimal I just counted how far it is from.
C.)
The square root of 55 is 7.5. for the Whole once again it has now pass 64 so therefore it is 7 and for the decimal I just rounded 49 by 50 then counted how far 50 is from 55 and I got 5.
8.) Identify all possible whole numbers with a square root larger that 2 and smaller than 3
2x2=4
3x3=9
5,6,7,8
9.) Identify all possible whole numbers that have a square root between 4 and 5.
4x4=16
5x5=25
17,18,19,20,21,22,23,24
C.)
The square root of 55 is 7.5. for the Whole once again it has now pass 64 so therefore it is 7 and for the decimal I just rounded 49 by 50 then counted how far 50 is from 55 and I got 5.
8.) Identify all possible whole numbers with a square root larger that 2 and smaller than 3
2x2=4
3x3=9
5,6,7,8
9.) Identify all possible whole numbers that have a square root between 4 and 5.
4x4=16
5x5=25
17,18,19,20,21,22,23,24
Textbook Questions 14, 15, and 17
14. Alex is thinking of a number. The number has a square root between 7 and 8, and a multiple of 12.
a) What number could he be thinking of?
b) Is there more than one answer? Explain.
No, because 60 is the only number that is between the square root of 7 and 8 that is a multiple of 12.
15. Order the following numbers from least to greatest:
Ordered from least to greatest:
17. Carmel wants to mount an 18cm x 18cm square picture on a square board that is four times the area or the picture
a) What is the area of the picture?
324cm(squared)
b) What is the area of the board?
I got this answer because I multiplied 324cm(squared) by 4.
c) What are the dimensions of the board?
Play Mangahigh
Here's a video that can help.
Jenny's Scribe Post
Textbook Questions 12, 14, 17
The area of the board is 1296 cm2. It is 4x the area of the picture
12. While shopping online, Ji Hun finds a square rug with the area of 11 m squared.
He needs to know if it will fit his 4 m x 5 m bedroom.
A) Estimate the side length of the rug, to one decimal place.
B) Check your estimate with a calculator.
√11= 3.316
C) Will the rug fit? Explain.
Yes, because the area of the room is 20 m2
14. Alex is thinking of a number.
"The number has a square root between 7 and 8, and it is a multiple of 12."
A) What number could he be thinking of?
7.8
B) Is there more than one answer? Explain
No, because there are no more multiples of 12 in between √49 and √64
17. Carmel wants to mount an 18 cm x 18 cm square picture on a square
board that is four times the area of the picture.
A) What is the area of the picture?
Multiply 18cm x 18cm = 324 cm2
324 cm2 is the area of the picture
B) What is the are of the board?
Multiply 324 cm2 x 4 = 1296
The area of the board is 1296 cm2. It is 4x the area of the picture
C) What is the dimensions of the board?
Find the square of 1296 cm2
The square root 1296 cm2 is 36 cm
The square root 1296 cm2 is 36 cm
Friday, January 20, 2012
Casey's Scribe Post- Estimate Square Roots
What is square root?
Square Roots are the inverse of squaring.
A square root can be thought of as a side in a square.
Pythagorean Relationship
1. The Pythagorean Relationship is the relationship between the side lengths of a right triangle . The hypotenuse is equal to the areas of the legs.
2. Solve the missing side length
c²= a²+b²
c²= 12²+5²
c²= 144cm²+25cm²
c²= 169cm²
√c²= √169cm²
c= 13 cm
3. Is this a right triangle?
c²= a²+b²
c²= 8²+6²
c²= 64cm²+36cm²
c²= 100cm²
√c²= √100cm²
c= 10 cm
No, it's not a right triangle because the legs don't equal the hypotenuse.
Square Roots are the inverse of squaring.
A square root can be thought of as a side in a square.
√S²= S
√12²= 12
√144= 12
What is a square number?
A number multiplied by itself.
SxS=S²
7x7=7²
7x7=49
You can find the approximate √ of a number using perfect squares. The whole number is the same as the smaller perfect square for all √ in between.
To estimate a fractional √ we can find the whole number. To find the denominator of the fraction subtract the perfect squares.
To find the numerator we count the √'s position between perfect squares.
Textbook Questions 3.3 :9, 14, 16
9. What are all possible whole numbers that have a square root between 4 and 5?
17, 18, 19, 20, 21, 22, 23, 24
14. Alex is thinking of a number. The number has a square root between 7 and 8, and it is a multiple of 12.
a) What number could he be thinking of?
b) Is there more than one answer? Explain
No because the number must be between 49 and 64. The only multiple of 12 in between 49 and 64 is 60.
16. A fitness centre will install a square hot tub in a 6 m x 6 m room. They want the tub to fill no more than 75% of the room's area
a) What is the maximum area of the hot tub?
SxS=a
6x6=36m²
0.75x36=27m²
b) What dimensions, to a tenth of a metre, will the fitness centre order from the manufacturer?
The fitness centre should order dimensions of 5.1 m by 5.1 m, so the area does not pass 75% of the space.
5.1x5.1=26.01
Pythagorean Relationship
1. The Pythagorean Relationship is the relationship between the side lengths of a right triangle . The hypotenuse is equal to the areas of the legs.
2. Solve the missing side length
c²= a²+b²
c²= 12²+5²
c²= 144cm²+25cm²
c²= 169cm²
√c²= √169cm²
c= 13 cm
3. Is this a right triangle?
c²= a²+b²
c²= 8²+6²
c²= 64cm²+36cm²
c²= 100cm²
√c²= √100cm²
c= 10 cm
No, it's not a right triangle because the legs don't equal the hypotenuse.
Subscribe to:
Posts (Atom)